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Fixed point theorems for \(\psi\)-contractive mappings in ordered metric spaces. (English) Zbl 1235.54027

Summary: We obtain some new fixed point theorems for \(\psi\)-contractive mappings in ordered metric spaces. Our results generalize or improve many recent fixed point theorems in the literature (e.g., J. Harjani, B. López and K. Sadarangani [Abstr. Appl. Anal. 2010, Article ID 190701 (2010; Zbl 1203.54041); Comput. Math. Appl. 61, No. 4, 790–796 (2011; Zbl 1217.54046)]).

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54E50 Complete metric spaces
54E40 Special maps on metric spaces
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References:

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